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116164043226 = 232711271309271
BaseRepresentation
bin110110000101111101…
…0101010000111011010
3102002211200010211001100
41230023322222013122
53400400443340401
6125210502332230
711251440034650
oct1541372520732
9362750124040
10116164043226
11452a0635010
121a61b12a076
13ac5357086a
14589dad4dd0
15304d335b86
hex1b0beaa1da

116164043226 has 96 divisors (see below), whose sum is σ = 314952708096. Its totient is φ = 30061044000.

The previous prime is 116164043207. The next prime is 116164043243. The reversal of 116164043226 is 622340461611.

116164043226 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 640 + 4 + 3 + 2 + 2 + 6 = 666.

It is a super-2 number, since 2×1161640432262 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 220971 + ... + 530241.

It is an arithmetic number, because the mean of its divisors is an integer number (3280757376).

Almost surely, 2116164043226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116164043226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157476354048).

116164043226 is an abundant number, since it is smaller than the sum of its proper divisors (198788664870).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

116164043226 is a wasteful number, since it uses less digits than its factorization.

116164043226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309568 (or 309565 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 116164043226 in words is "one hundred sixteen billion, one hundred sixty-four million, forty-three thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 271 462 542 693 813 1386 1626 1897 2439 2981 3794 4878 5691 5962 8943 11382 17073 17886 20867 26829 34146 41734 53658 62601 125202 187803 309271 375606 618542 927813 1855626 2164897 2783439 3401981 4329794 5566878 6494691 6803962 10205943 12989382 19484073 20411886 23813867 30617829 38968146 47627734 61235658 71441601 83812441 142883202 167624882 214324803 251437323 428649606 502874646 586687087 754311969 921936851 1173374174 1508623938 1760061261 1843873702 2765810553 3520122522 5280183783 5531621106 6453557957 8297431659 10560367566 12907115914 16594863318 19360673871 38721347742 58082021613 116164043226